Question

how do you do this ? Write the slope intercept for the line that passes through (2,-2) and (-1,10)

Answer 1

Slope intercept form is given by:

\[\large y = mx + c\]

Where m is the slope and c is y intercept..


Now use:

\[\large \frac{y - y_1}{y_2 - y_1} = \frac{x - x_1}{x_2 - x_1} \]

Are you able to do this??

Answer 2

y2-y1 /x2-x1 y=-4x+6
-2 - 10 / 2 +1 y=-4x+14
-12 / 3
-4=slope

y=-4x + b
-2 = -4(2)+b
-2 = -8 +b
+8 +8
6 = b

y=-4x+b
10=4(-1)+b
10=-4+b
+4 +4
14 = b this is what i got did i do it right

Answer 3

Let me check..

Answer 4

Did you find b for both???

Answer 5

I got 6 and 14 for b

Answer 6

I don't know what we do when b has two values..

Let me solve this as I have learned:

\[\large \frac{y +2}{1 + 2} = \frac{x - 2}{-1 -2}\]

\[\large \frac{y+2}{12} =\frac{x - 2}{-3} \implies -3y - 6 = 12x - 24\]

\[\large -3y = 12x - 18 \implies 3y = -12x + 18 \implies y = -4x + 6\]

Answer 7

it is not 1 + 2 it is 10 + 2 in the denominator in LHS..

Sorry there is my mistake..

Answer 8

I found your mistake @pige77

y=-4x+b
10=-4(-1)+b
10= 4+b
-4 -4
6 = b

You will get 6 both this also..

Answer 9

Are you getting it ??? @pige77

Answer 10

How you made -4 4 there??

y = -4x + b


y is 10 and x is -1

So:

10 = -4(-1) + b


Right ??

Answer 11

yes thank you it is those little mistakes thae make a huge error

Answer 12

My English Oh My God..

Answer 13

will you help with another slope intercept equation

Answer 14

Yeah sure...

Answer 15

ok give me a sec not good typing fast

Answer 16

Write the slope intercept equation for the line with slope -2/3 and y-intercept (0,3)

Answer 17

What do you think here b is ??

Answer 18

i got y=-2/3x+3

Answer 19

Well Done...

Answer 20

ty one more

Answer 21

Go on..

Answer 22

write the slope intercept equation for the line that passes through (-2,3) and is perpendicular to 2x-9y=-12.

Answer 23

i got y=9/2+12
i get my signs mixed up

Answer 24

Slope will be -9/2 I guess..

Answer 25

2x-9y=-12

-9y = -12 - 2x

9y = 2x + 12

y = (2/9)x + 12/9


Now what is negative reciprocal of 2/9 ??

Answer 26

-9/2

Answer 27

so where did i go wrong?

Answer 28

Yes..

Answer 29

Let me check whole..

Answer 30

y-y1=m(x-x1)
y-3=9/2(x-(-2))
y-3=9/2x+9
+3 +3
y=9/2+12

Answer 31

Use equation:

\[\large y - y_1 = m(x - x_1)\]

y - 3 = -9/2 (x + 2)

Now:

y - 3 = -9/2x - 9

y = -9/2x - 6

Answer 32

Why are you using 9/2 ???

Slope is -9/2 no??

Answer 33

did the signs mess me up then

Answer 34

so the answer is y=-9/2x-6 right

Answer 35

Yes it is right//

Answer 36

ty sooooooo much

Answer 37

Welcome dear...

Answer 38

you have been a huge help now i have to figure out how to graph some of these

Answer 39

I am not good at graphing..

I will see it what is the question..

Answer 40

the one that we did that the answer is y=-2/3+3 is one of them

Answer 41

i dont know how to try them on here

Answer 42

to show you

Answer 43

See you have y intercept here 3..

and slope is negative 2/3 so the line will be from upper left to lower right on the graph..



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